To graph the system of equations, we need to first rewrite the equations in slope-intercept form (y = mx + b):
4x + 12y = 12
12y = -4x + 12
y = -1/3x + 1
2x + 6y = 12
6y = -2x + 12
y = -1/3x + 2
Both equations have the same slope (-1/3) but different y-intercepts (1 and 2). This means the lines are parallel and will never intersect, so there is no solution to the system of equations.
Therefore, the correct answer is: There is no solution.
Graph the following system of equations.
4x + 12y = 12
2x + 6y = 12
What is the solution to the system?
There is no solution.
There is one unique solution (6, −1).
There is one unique solution (6, 0).
There are infinitely many solutions.
1 answer